A Unified Approach to Some Classes of Nonlinear Integral Equations
Joint Authors
Ashirbayev, Nurgali K.
Bekmoldayeva, Raina
Banas, Józef
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We are going to discuss some important classes of nonlinear integral equations such as integral equations of Volterra-Chandrasekhar type, quadratic integral equations of fractional orders, nonlinear integral equations of Volterra-Wiener-Hopf type, and nonlinear integral equations of Erdélyi-Kober type.
Those integral equations play very significant role in applications to the description of numerous real world events.
Our aim is to show that the mentioned integral equations can be treated from the view point of nonlinear Volterra-Stieltjes integral equations.
The Riemann-Stieltjes integral appearing in those integral equations is generated by a function of two variables.
The choice of a suitable generating function enables us to obtain various kinds of integral equations.
Some results concerning nonlinear Volterra-Stieltjes integral equations in several variables will be also discussed.
American Psychological Association (APA)
Ashirbayev, Nurgali K.& Banas, Józef& Bekmoldayeva, Raina. 2014. A Unified Approach to Some Classes of Nonlinear Integral Equations. Journal of Function Spaces،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1040636
Modern Language Association (MLA)
Ashirbayev, Nurgali K.…[et al.]. A Unified Approach to Some Classes of Nonlinear Integral Equations. Journal of Function Spaces No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1040636
American Medical Association (AMA)
Ashirbayev, Nurgali K.& Banas, Józef& Bekmoldayeva, Raina. A Unified Approach to Some Classes of Nonlinear Integral Equations. Journal of Function Spaces. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1040636
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1040636